background preloader

Derive area and volume formulas

Facebook Twitter

Memorizing formulas can assist in finding the area and a volume of particular shapes. Don't you ever wonder where those formulas came from? If you understand where it came from, it will certainly make it easier to remember and apply.

Volume of a Sphere, How to get the formula animation. Area of a circle, how to get the formula. Visualizing Area of a Trapezoid Formula - Deriving the Formula. Discovering the Area Formula for Triangles. Prior to this lesson, students need experience in measuring squares and rectangles that are not squares and calculating their areas. As a warm-up, have students measure at least square and one rectangle found within the classroom, record its dimensions, and calculate the area of each. For example, they could measure floor tiles, windows, chalkboards, bulletin boards, desktops, shelves, and so forth.

Challenge them to measure as many different shapes as possible and report back to the class. Divide students into groups of three. All three are responsible for the work, but the following tasks could be assigned: Recorder: Keeps a record of all important information. Distribute the Squares and Rectangles Activity Sheet. Squares and Rectangles Activity Sheet Using rulers, students should draw one diagonal in each of the shapes A, B, and C, and then cut each shape along the diagonal into two parts. Students can estimate the areas using any methods they choose. Area Tool for Triangles 1. 2. Area of a circle, how to get the formula. TYPES OF ANGLES SEUSS SONG by Heath.